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Finding the Fourth Proportional to 19,194.29, 26,487.64 and 10,696.38

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Solution

The fourth proportional to 19,194.29, 26,487.64 and 10,696.38 is: 14,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194.29 : 26,487.64 = 10,696.38 : x
  2. Step 2: Convert to fraction form
    19,194.29/26,487.64 = 10,696.38/x
  3. Step 3: Cross multiply
    19,194.29x = 26,487.64 × 10,696.38
  4. Step 4: Simplify right side
    19,194.29x = 283,321,862.74
  5. Step 5: Solve for x
    x = 283,321,862.74/19,194.29
  6. Step 6: Final answer
    x = 14,760.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.